{
  "id": 2771,
  "curve_key": "299304160785892767227141713831290265432561:-163658106462219996072446315630780606101861644066969050423290441",
  "ainvs": [
    "1",
    "0",
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    "-6235503349706099317232119038151880529845",
    "189419104701643513972219165960187230267385337379886707205025"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
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  "naive_height": 286.5068368297604,
  "faltings_height": 21.62653178642559,
  "conductor": "244375491477491983033103910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "31",
    "37",
    "41",
    "79",
    "139",
    "101119",
    "6272219"
  ],
  "discriminant": "16541109642641752806453374478365858326764730209628282609309515897497925789682759620037101127777262979248184690000000000",
  "regulator": "473614.1819781330615558096617411825239228104884",
  "points": [
    [
      "17589807360712156090",
      "291856320210123832159665884455"
    ],
    [
      "32254945713754125363142410/169",
      "183186909473224164721735686310561219635/2197"
    ],
    [
      "3568054094929294949476685410/859329",
      "213092992005335904580831819367952379418665/796597983"
    ],
    [
      "103201476065683018372809559484742207512444260180660/698317240262928282290790194449",
      "921872016140031983045959981157221175214685946760439597841749424753905185935/583551441562923065277439175513892774989278457"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Fisher (2016). Source: https://dujella.github.io/tors/z10.html (curve entry 9). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:21:42",
  "updated_at": "2026-09-26 20:21:42"
}